
Heat the olive oil in a large sauté pan or Dutch oven over medium-high heat. Add the jalapeños, carrots, onion, and garlic and cook for 10 minutes, stirring occasionally.
Add the remaining ingredients to the pan, mix together, and bring to a boil. Reduce the heat to low and simmer for 10 minutes.
Remove the pan from the heat and transfer the vegetables to a container or jar. Pour the cooking liquid on top of the vegetables to cover them completely, and let them sit on the counter to cool to room temperature.
Once cooled, store in the refrigerator for up to 1 month.